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JEE Mains · Maths · STD 11 - 14. probability
From a group of \(10\) men and \(5\) women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men, is
- A \(\frac{21}{220}\)
- B \(\frac{3}{11}\)
- C \(\frac{1}{11}\)
- D \(\frac{2}{23}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{11}\)
Step-by-step Solution
Detailed explanation
Probability of \(4\) member committee which obntain atleast one woman. \(\Rightarrow \mathrm{P}(3 \mathrm{M}, 1 \mathrm{W})+\mathrm{P}(2 \mathrm{M}, 2 \mathrm{W})+\) \(\mathrm{P}(1 \mathrm{M}, 3 \mathrm{W})+\mathrm{P}(0 \mathrm{M}, 4 \mathrm{W})\)…
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